Nuprl Lemma : bind-class-assoc
[Info,T,S,U:Type]. [X:EClass(T)]. [Y:T 
EClass(S)]. [Z:S EClass(U)].
(X >x> Y[x] >y> Z[y] = X >x> Y[x] >y> Z[y])
Proof not projected
Definitions occuring in Statement :
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
so_apply: x[s],
function: x:A B[x],
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
bind-class: X >x> Y[x],
member: t 
T,
prop: 
,
l_all: (xL.P[x]),
all: x:A. B[x],
subtype: S 
T,
so_lambda: 
x.t[x],
implies: P 
Q,
so_lambda: x y.t[x; y],
squash: 
T,
true: True,
so_apply: x[s],
and: P 
Q,
iff: P 
Q,
rev_implies: P Q,
ifthenelse: if b then t else f fi ,
btrue: tt,
cand: A c B,
bfalse: ff,
uimplies: b supposing a,
so_apply: x[s1;s2],
bool: 
,
unit: Unit,
guard: {T},
bag-filter: [xb|p[x]],
it: 
Lemmas :
list_set_type,
es-E_wf,
event-ordering+_inc,
es-le-before_wf2,
es-le_wf,
member-es-le-before,
l_member_wf,
eclass_wf,
event-ordering+_wf,
subtype_rel_self,
list-subtype-bag,
equal_wf,
squash_wf,
true_wf,
bag_wf,
and_wf,
eo-forward_wf,
bag-combine_wf,
es-loc_wf,
Id_wf,
member-eo-forward-E,
eo-forward-forward,
event_ordering_wf,
bag-combine-filter,
es-ble_wf,
bool_wf,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
eqtt_to_assert,
assert-es-ble,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_iff,
empty-bag_wf,
bag-combine-com
\mforall{}[Info,T,S,U:Type]. \mforall{}[X:EClass(T)]. \mforall{}[Y:T {}\mrightarrow{} EClass(S)]. \mforall{}[Z:S {}\mrightarrow{} EClass(U)].
(X >x> Y[x] >y> Z[y] = X >x> Y[x] >y> Z[y])
Date html generated:
2012_01_23-PM-12_22_52
Last ObjectModification:
2011_12_31-AM-11_18_44
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